Mathematical theory of the fork-type wave gyroscope

The work is devoted to mathematical analysis of the fork-type wave gyroscope. It includes the theory of flexural and torsional vibrations of thin bimorph beams and an applied theory of elastic half-ring vibrations both in the plane of the fork arrangement and in the perpendicular direction. Solution of the problem is expressed in analytic form in terms of hyperbolic and trigonometric functions. Both free and forced vibrations are considered. Analysis of the sensitivity of the gyroscope is carried out.